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CDS Model Paper 4 Mathematics
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© examsnet.com
Question : 89
Total: 100
The value of
(
1
+
sec
20
°
+
cot
70
°
(
1
−
cosec
20
°
+
tan
70
°
)
is
−
1
2
1
0
Validate
Solution:
(
1
+
sec
20
°
+
cot
70
°
)
(
1
−
cosec
20
°
+
tan
70
°
=
[
1
+
cosec
(
90
°
−
20
°
)
+
cot
70
°
]
[
1
−
sec
(
90
°
−
70
°
)
+
tan
70
°
]
=
[
1
+
cosec
70
°
+
cot
70
°
]
[
1
−
sec
70
°
+
tan
70
°
]
=
[
1
+
1
sin
70
°
+
cos
70
°
sin
70
°
]
[
1
−
1
cos
70
°
+
sin
70
°
cos
70
°
]
=
(
sin
2
70
°
+
cos
70
°
+
1
)
(
sin
70
°
+
cos
70
°
−
1
)
sin
70
°
cos
70
°
=
sin
2
70
°
+
cos
2
70
°
+
2
sin
70
°
cos
70
°
−
1
sin
70
°
cos
70
°
=
2
sin
70
°
cos
70
°
sin
70
°
cos
70
°
[
∵
sin
2
70
°
+
cos
2
70
°
=
1
]
= 2
© examsnet.com
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